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Finding the Third Proportional to 297,981 and 646,756

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Solution

The third proportional to 297,981 and 646,756 is: 1,403,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,981 : 646,756 = 646,756 : x
  2. Step 2: Convert to fraction form
    297,981/646,756 = 646,756/x
  3. Step 3: Cross multiply
    297,981x = 646,756 × 646,756
  4. Step 4: Simplify right side
    297,981x = 418,293,323,536
  5. Step 5: Solve for x
    x = 418,293,323,536/297,981
  6. Step 6: Final answer
    x = 1,403,758.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.